Reinhard Diestel (Universitat Hamburg)

Tangles

A Structural Approach to Artificial Intelligence in the Empirical Sciences

• Gebundenes Buch

Produktbeschreibung

The mathematical theory of tangles, the centrepiece of the celebrated Robertson-Seymour theory of graph minors, finds precise structure in imprecise data. Assuming only basic undergraduate mathematics, this book shows how tangles can identify, relate, and structure types in data: of behaviour, political views, texts, or proteins.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 298
• Erscheinungstermin: 23. Mai 2024
• Englisch
• Abmessung: 233mm x 160mm x 23mm
• Gewicht: 572g
• ISBN-13: 9781009473316
• ISBN-10: 100947331X
• Artikelnr.: 69946600

Autorenporträt

Reinhard Diestel is Chair of Discrete Mathematics at Universität Hamburg, where he works on structural graph theory and combinatorics. He is the author of the leading graduate-level text 'Graph Theory' (6th edition, 2024), which has been translated into German, Russian, Japanese, and Chinese.

Inhaltsangabe

Part I. Tangles - A New Paradigm for Clusters and Types: 1. The idea behind tangles
2. The notion of a tangle
3. The two main tangle theorems: an informal preview
Part II. Tangles in Different Contexts - A Collection of Informal Examples: 4. Examples from the natural sciences
5. Examples from the social sciences
6. Examples from data science
Part III. The Mathematics of Tangles - Concepts, Theorems, Algorithms: 7. The formal setup for tangles
8. Tangle theorems
9. Order functions
10. Choosing the feature system
11. Algorithms
Part IV. Applying Tangles - Back to the Examples: 12. Applying tangles in the natural sciences
13. Applying tangles in the social sciences
14. Applying tangles in data science
Notes
References
Symbol index
Subject index.